Basic College Mathematics

Why Rent from Knetbooks?

Because Knetbooks knows college students. Our rental program is designed to save you time and money. Whether you need a textbook for a semester, quarter or even a summer session, we have an option for you. Simply select a rental period, enter your information and your book will be on its way!

This clear, accessible treatment of mathematics features a building-block approach toward problem solving, realistic and diverse applications, and chapter organizer to help users focus their study and become effective and confident problem solvers. The Putting Your Skills to Work and new chapter-end feature, Math in the Media, present readers with opportunities to utilize critical thinking skills, analyze and interpret data, and problem solve using applied situations encountered in daily life. Chapter 7, Geometry, has been extensively revised and re-organized to include a new section 7.1 on angles and new section 7.4 devoted to triangles. Increased coverage of estimating with fractions and decimals with new ¿To Think About¿ exercises in Sections 2.5, 2.8, and 3.3 and a new lesson in Section 3.7. Coverage of fractions in Chapter 2 has been expanded as follows: Section 2.6 now begins with a discussion of least common multiples so that the subsequent coverage of least common denominators is more complete; a new lesson on order of operations in Section 2.8 offers readers additional review of these rules and practice applying them to fractions; and a new mid-chapter test on fractions appears after Section 2.5. Percent applications are now covered in two sections (Sections 5.4 and 5.5) to allow for a more patient presentation of this important topic.

To the Student

i

Preface

xiii

Acknowledgments

xx

Diagnostic Pretest

xxiv

Whole Numbers

1

(108)

Understanding Whole Numbers

2

(11)

Adding Whole Numbers

13

(11)

Subtracting Whole Numbers

24

(12)

Multiplying Whole Numbers

36

(15)

Dividing Whole Numbers

51

(12)

How Am I Doing? Sections 1.1--1.5

62

(1)

Exponents and the Order of Operations

63

(7)

Rounding and Estimating

70

(11)

Solving Applied Problems Involving Whole Numbers

81

(28)

Chapter 1 Organizer

98

(3)

Chapter 1 Review Problems

101

(6)

How Am I Doing? Chapter 1 Test

107

(2)

Fractions

109

(94)

Understanding Fractions

110

(8)

Simplifying Fractions

118

(10)

Converting Between Improper Fractions and Mixed Numbers

128

(7)

Multiplying Fractions and Mixed Numbers

135

(7)

Dividing Fractions and Mixed Numbers

142

(12)

How Am I Doing? Sections 2.1--2.5

151

(1)

Test on Sections 2.1--2.5

152

(2)

The Least Common Denominator and Creating Equivalent Fractions

154

(10)

Adding and Subtracting Fractions

164

(8)

Adding and Subtracting Mixed Numbers and the Order of Operations

172

(8)

Solving Applied Problems Involving Fractions

180

(23)

Chapter 2 Organizer

192

(3)

Chapter 2 Review Problems

195

(4)

How Am I Doing? Chapter 2 Test

199

(2)

Cumulative Test for Chapters 1--2

201

(2)

Decimals

203

(66)

Using Decimal Notation

204

(6)

Comparing, Ordering, and Rounding Decimals

210

(6)

Adding and Subtracting Decimals

216

(10)

Multiplying Decimals

226

(8)

How Am I Doing? Sections 3.1--3.4

233

(1)

Dividing Decimals

234

(9)

Converting Fractions to Decimals and Order of Operations

243

(9)

Estimating and Solving Applied Problems Involving Decimals

252

(17)

Chapter 3 Organizer

261

(2)

Chapter 3 Review Problems

263

(4)

How Am I Doing? Chapter 3 Test

267

(1)

Cumulative Test for Chapters 1--3

268

(1)

Ratio and Proportion

269

(42)

Ratios and Rates

270

(8)

The Concept of Proportions

278

(7)

How Am I Doing? Sections 4.1--4.2

284

(1)

Solving Proportions

285

(8)

Solving Applied Problems Involving Proportions

293

(18)

Chapter 4 Organizer

302

(1)

Chapter 4 Review Problems

303

(5)

How Am I Doing? Chapter 4 Test

308

(2)

Cumulative Test for Chapters 1--4

310

(1)

Percent

311

(62)

Understanding Percent

312

(7)

Changing Between Percents, Decimals, and Fractions

319

(9)

Solving Percent Problems Using Equations

328

(9)

Solving Percent Problems Using Proportions

337

(9)

How Am I Doing? Sections 5.1--5.3

345

(1)

Solving Applied Percent Problems

346

(8)

Solving Commission, Percent of Increase or Decrease, and Interest Problems